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Finding the Third Proportional to 206,481 and 312,579

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Solution

The third proportional to 206,481 and 312,579 is: 473,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,481 : 312,579 = 312,579 : x
  2. Step 2: Convert to fraction form
    206,481/312,579 = 312,579/x
  3. Step 3: Cross multiply
    206,481x = 312,579 × 312,579
  4. Step 4: Simplify right side
    206,481x = 97,705,631,241
  5. Step 5: Solve for x
    x = 97,705,631,241/206,481
  6. Step 6: Final answer
    x = 473,194.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.